Question 361: Oscillations

Question

In damped SHM, the SI unit of damping constant is

Accepted Answer

In damped SHM, damping force is proportional to the velocity of the oscillator.
i.e., $$F_d \propto v \Rightarrow F_d=b v$$
where, $b$ is a damping constant.
$	herefore$ Damping constant, $b=\frac{F_d}{v}$
SI unit of damping constant
$$\begin{aligned}
b & =\frac{	ext { SI unit of force }}{	ext { SI unit of velocity }}=\frac{\mathrm{kg} \cdot \mathrm{~m} \cdot \mathrm{~s}^{-2}}{\mathrm{~m} \cdot \mathrm{~s}^{-1}} \
& =\mathrm{kg} \cdot \mathrm{~s}^{-1}=\frac{\mathrm{kg}}{\mathrm{~s}}
\end{aligned}$$
Hence, the SI unit of damping constant is $\mathrm{kg} / \mathrm{s}$.

Answer

$\frac{\mathrm{N}}{\mathrm{s}}$

Answer

$\frac{\mathrm{kg}}{\mathrm{s}}$

Answer

$\frac{\mathrm{kg}}{\mathrm{m}}$

Answer

$\frac{N}{m}$

Oscillations

In damped SHM, the SI unit of damping constant is

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